Wall clock time and date at job start Sat Apr 11 2020 06:11:23 AMSOL-version 7.1 by G. D. Hawkins, D. J. Giesen, G. C. Lynch, C. C. Chambers, I. Rossi, J. W. Storer, J. Li, J. D. Thompson, P. Winget, B. J. Lynch, D. Rinaldi, D. A. Liotard, C. J. Cramer, and D. G. Truhlar Copyright 2004 by Regents of the University of Minnesota. All rights reserved. Notice: recipients of this code are asked to comply with the user agreement in Section 1 of the documentation file. ******************************************************************************* * 1SCF - SCF CALCULATION WITHOUT GEOMETRY OPTIMIZATION * - USE EF ROUTINE FOR MINIMUM SEARCH (DEFAULT) * GEO-OK - OVERRIDE INTERATOMIC DISTANCE CHECK * TLIMIT= - A TIME OF 15. SECONDS REQUESTED * CHARGE - CHARGE ON SYSTEM= -1 * AM1 - THE AM1 HAMILTONIAN TO BE USED * DEV - DEVELOPER OPTIONS ARE ALLOWED * SM5.42R - SM5.42R CALCULATIONS WILL BE PERFORMED * - CHARGE MODEL 2 WILL BE USED (CM2A) * - THE SOLVENT IS USER-SPECIFIED * DIELEC - THE SOLVENT DIELECTRIC CONSTANT IS 2.06 * IOFR - THE SOLVENT INDEX OF REFRACTION IS 1.4345 * ALPHA - THE SOLVENT ALPHA IS 0.00 * BETA - THE SOLVENT BETA IS 0.00 * GAMMA - THE SOLVENT MACROSCOPIC SURFACE TENSION IS * 38.93 CAL MOL^-1 ANGSTROM^-2 * FACARB - THE FRACTION OF AROMATIC CARBONS IS 0.00 * FEHALO - THE FRACTION OF ELECTRONEGATIVE HALOGENS IS 0.00 ******************************************************************************* Atom NO. Chemical Bond length Bond angle Dihedral angle number (k) symbol (angstroms) (degrees) (degrees) (I) NA:I NB:NA:I NC:NB:NA:I NA NB NC 1 1 C 2 2 O 1.42898 * 1 3 3 C 1.42898 * 113.99709 * 2 1 4 4 C 1.53007 * 109.46841 * 180.02562 * 3 2 1 5 5 H 1.08994 * 109.46939 * 55.32036 * 4 3 2 6 6 O 1.42895 * 109.47103 * 295.31612 * 4 3 2 7 7 C 1.42906 * 113.99798 * 150.00136 * 6 4 3 8 8 C 1.50704 * 109.47119 * 175.31527 * 4 3 2 9 9 O 1.21280 * 119.99587 * 107.71279 * 8 4 3 10 10 N 1.34781 * 120.00193 * 287.71861 * 8 4 3 11 11 C 1.47188 * 125.65782 * 5.13486 * 10 8 4 12 12 C 1.53682 * 107.09895 * 181.54686 * 11 10 8 13 13 C 1.54535 * 103.65665 * 21.54431 * 12 11 10 14 14 C 1.47474 * 125.66352 * 185.17923 * 10 8 4 15 15 H 1.08997 * 110.35384 * 274.79590 * 14 10 8 16 16 C 1.53006 * 110.44185 * 37.03077 * 14 10 8 17 17 C 1.52278 * 110.65862 * 263.45832 * 12 11 10 18 18 C 1.53311 * 109.42203 * 176.90373 * 17 12 11 19 19 N 1.46933 * 108.71186 * 53.52691 * 18 17 12 20 20 C 1.36939 * 120.57861 * 125.73553 * 19 18 17 21 21 H 1.07991 * 120.00371 * 211.33580 * 20 19 18 22 22 C 1.38817 * 119.99596 * 31.33401 * 20 19 18 23 23 N 1.31616 * 120.00370 * 10.42938 * 22 20 19 24 24 Si 1.86800 * 119.99702 * 190.43139 * 22 20 19 25 25 H 1.48500 * 109.47017 * 359.97438 * 24 22 20 26 26 H 1.48498 * 109.47444 * 120.00168 * 24 22 20 27 27 H 1.48503 * 109.46992 * 240.00420 * 24 22 20 28 28 C 1.46928 * 118.84724 * 305.75203 * 19 18 17 29 29 C 1.52264 * 110.66624 * 139.64703 * 12 11 10 30 30 H 1.09000 * 109.47034 * 179.97438 * 1 2 3 31 31 H 1.08999 * 109.46954 * 299.99573 * 1 2 3 32 32 H 1.08992 * 109.47368 * 59.99953 * 1 2 3 33 33 H 1.08993 * 109.47375 * 60.00661 * 3 2 1 34 34 H 1.09001 * 109.47434 * 300.00108 * 3 2 1 35 35 H 1.08993 * 109.46836 * 179.97438 * 7 6 4 36 36 H 1.08997 * 109.46970 * 299.99774 * 7 6 4 37 37 H 1.09000 * 109.47097 * 59.99757 * 7 6 4 38 38 H 1.08995 * 109.90916 * 62.18104 * 11 10 8 39 39 H 1.09000 * 109.91070 * 300.91140 * 11 10 8 40 40 H 1.09008 * 111.00921 * 83.23183 * 13 12 11 41 41 H 1.08997 * 111.01579 * 207.07251 * 13 12 11 42 42 H 1.08998 * 109.47079 * 175.53799 * 16 14 10 43 43 H 1.09004 * 109.46883 * 295.54074 * 16 14 10 44 44 H 1.09001 * 109.47003 * 55.53489 * 16 14 10 45 45 H 1.09004 * 109.47721 * 296.88802 * 17 12 11 46 46 H 1.08996 * 109.48034 * 56.91603 * 17 12 11 47 47 H 1.09001 * 109.60202 * 173.29518 * 18 17 12 48 48 H 1.09004 * 109.59862 * 293.76000 * 18 17 12 49 49 H 0.97000 * 120.00083 * 179.97438 * 23 22 20 50 50 H 1.08996 * 109.60339 * 294.48029 * 28 19 18 51 51 H 1.09002 * 109.59513 * 174.01380 * 28 19 18 52 52 H 1.09003 * 109.48220 * 303.07784 * 29 12 11 53 53 H 1.09001 * 109.48348 * 63.10678 * 29 12 11 Note: An asterisk (*) indicates this parameter was or will be optimized. Cartesian coordinates (angstroms) NO. Atom X Y Z 1 6 0.0000 0.0000 0.0000 2 8 1.4290 0.0000 0.0000 3 6 2.0101 1.3055 0.0000 4 6 3.5354 1.1847 -0.0006 5 1 3.8511 0.5732 -0.8459 6 8 3.9653 0.5725 1.2169 7 6 5.1686 -0.1880 1.0918 8 6 4.1480 2.5567 -0.1167 9 8 4.6932 3.0604 0.8424 10 7 4.0897 3.2240 -1.2862 11 6 3.3709 2.7812 -2.4919 12 6 3.6192 3.8380 -3.5797 13 6 4.9090 4.5483 -3.1108 14 6 4.7363 4.5186 -1.5706 15 1 4.0988 5.3405 -1.2446 16 6 6.0996 4.5980 -0.8806 17 6 2.4652 4.8299 -3.6383 18 6 2.7769 5.9138 -4.6769 19 7 3.1055 5.2635 -5.9528 20 6 2.4337 5.5976 -7.0984 21 1 2.2789 4.8573 -7.8691 22 6 1.9516 6.8882 -7.2688 23 7 2.3114 7.8407 -6.4347 24 14 0.7920 7.2730 -8.6819 25 1 0.5450 6.0387 -9.4696 26 1 -0.4943 7.7821 -8.1421 27 1 1.4042 8.3043 -9.5577 28 6 4.1671 4.2481 -5.9783 29 6 3.8465 3.1749 -4.9313 30 1 -0.3633 -1.0277 -0.0005 31 1 -0.3633 0.5138 0.8900 32 1 -0.3634 0.5138 -0.8899 33 1 1.6886 1.8463 0.8900 34 1 1.6885 1.8464 -0.8900 35 1 5.4279 -0.6194 2.0586 36 1 5.0197 -0.9869 0.3654 37 1 5.9763 0.4624 0.7562 38 1 2.3039 2.7081 -2.2820 39 1 3.7546 1.8148 -2.8189 40 1 5.7949 3.9912 -3.4156 41 1 4.9476 5.5729 -3.4807 42 1 6.5971 5.5253 -1.1646 43 1 5.9615 4.5760 0.2004 44 1 6.7114 3.7491 -1.1861 45 1 1.5511 4.3078 -3.9210 46 1 2.3326 5.2915 -2.6599 47 1 1.9061 6.5562 -4.8076 48 1 3.6259 6.5090 -4.3406 49 1 1.9747 8.7425 -6.5541 50 1 5.1242 4.7137 -5.7431 51 1 4.2131 3.7919 -6.9672 52 1 4.6811 2.4775 -4.8583 53 1 2.9468 2.6355 -5.2276 RHF calculation, no. of doubly occupied orbitals= 66 REFERENCES FOR PARAMETERS IN GAS-PHASE HAMILTONIAN: H: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) C: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) N: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) O: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) Si: (AM1): M.J.S.DEWAR, C. JIE, ORGANOMETALLICS, 6, 1486-1490 (1987). REFERENCE FOR CHARGE MODEL 2: J. Li, J. Xing, C. J. Cramer, and D. G. Truhlar, J. Chem. Phys. 111 (1999) 885. REFERENCE FOR THE PARAMETERIZATION OF THE SM5.42R SOLVATION MODEL: J. Li, T. Zhu, G. D. Hawkins, P. Winget, D. A. Liotard, C. J. Cramer, and D. G. Truhlar, Theor. Chem. Acc. 103 (1999) 9-63 P. Winget, J. D. Thompson C. J. Cramer,and D. G. Truhlar, J. Phys. Chem. B. submitted. CHARGE=-1 AM1 1SCF TLIMIT=15 GEO-OK SM5.42R & SOLVNT=GENORG IOFR=1.4345 ALPHA=0.00 BETA=0.00 GAMMA=38.93 & DIELEC=2.06 FACARB=0.00 FEHALO=0.00 DEV ZINC001707125521.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sat Apr 11 2020 06:11:23 Heat of formation + Delta-G solvation = -96.765776 kcal Electronic energy + Delta-G solvation = -32326.441524 eV Core-core repulsion = 28199.283186 eV Total energy + Delta-G solvation = -4127.158338 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.97 seconds Orbital eigenvalues (eV) -40.84834 -39.21762 -37.98582 -37.15634 -35.91737 -33.20276 -32.52622 -30.92382 -30.37173 -29.98396 -27.25585 -26.98439 -26.27098 -26.05209 -24.35920 -23.72512 -22.46230 -21.56105 -21.00024 -19.26421 -18.21953 -17.49234 -17.06520 -16.74164 -16.50856 -15.98988 -15.87657 -15.63120 -15.08984 -14.90365 -14.50996 -14.09289 -14.07074 -13.89155 -13.80519 -13.50495 -13.23260 -12.97970 -12.77351 -12.71946 -12.64169 -12.21092 -12.07036 -11.92208 -11.77211 -11.59368 -11.49424 -11.30302 -11.16909 -10.99289 -10.80522 -10.75905 -10.63119 -10.43139 -10.27402 -10.08482 -9.95350 -9.86929 -9.56368 -9.54548 -9.25050 -8.63511 -8.51074 -6.65288 -5.82770 -3.30686 2.38607 2.73789 3.32989 3.41163 3.42595 3.48811 3.56445 4.38997 4.44626 4.61175 4.64436 4.67028 4.86457 4.96988 5.04272 5.08220 5.13813 5.17725 5.21310 5.25038 5.32190 5.34208 5.37047 5.42830 5.43968 5.50799 5.56767 5.62916 5.66021 5.75503 5.80410 5.99191 6.02523 6.14018 6.20262 6.27567 6.29412 6.42044 6.48341 6.55194 6.63296 6.68992 6.76713 6.79605 6.82956 6.92520 7.32364 7.48911 7.65664 7.75271 8.09072 8.43854 9.18540 9.79938 10.37501 11.24959 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.015466 B = 0.003038 C = 0.002744 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1809.972673 B = 9213.989134 C =10202.137107 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.031 3.969 2 O -0.382 6.382 3 C 0.067 3.933 4 C 0.081 3.919 5 H 0.092 0.908 6 O -0.351 6.351 7 C 0.031 3.969 8 C 0.508 3.492 9 O -0.521 6.521 10 N -0.609 5.609 11 C 0.100 3.900 12 C -0.055 4.055 13 C -0.119 4.119 14 C 0.134 3.866 15 H 0.077 0.923 16 C -0.161 4.161 17 C -0.129 4.129 18 C 0.172 3.828 19 N -0.591 5.591 20 C -0.252 4.252 21 H 0.064 0.936 22 C 0.004 3.996 23 N -0.904 5.904 24 Si 0.903 3.097 25 H -0.278 1.278 26 H -0.289 1.289 27 H -0.290 1.290 28 C 0.147 3.853 29 C -0.118 4.118 30 H 0.088 0.912 31 H 0.043 0.957 32 H 0.044 0.956 33 H 0.065 0.935 34 H 0.074 0.926 35 H 0.090 0.910 36 H 0.044 0.956 37 H 0.042 0.958 38 H 0.069 0.931 39 H 0.067 0.933 40 H 0.071 0.929 41 H 0.096 0.904 42 H 0.063 0.937 43 H 0.078 0.922 44 H 0.051 0.949 45 H 0.057 0.943 46 H 0.049 0.951 47 H 0.090 0.910 48 H 0.021 0.979 49 H 0.253 0.747 50 H 0.019 0.981 51 H 0.053 0.947 52 H 0.052 0.948 53 H 0.060 0.940 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 2.050 -13.997 11.660 18.332 Note: The Mulliken population analysis charges presented below were not used in the solvation calculation but are provided for completeness. The chosen solvation model uses CM2 partial charges for calculating solvation energies. Net atomic charges, atomic populations, and dipole contributions using Mulliken population analysis Atom NO. Type Charge No. of electrons 1 C -0.066 4.066 2 O -0.301 6.301 3 C -0.010 4.010 4 C 0.019 3.981 5 H 0.109 0.891 6 O -0.268 6.268 7 C -0.066 4.066 8 C 0.295 3.705 9 O -0.397 6.397 10 N -0.345 5.345 11 C -0.022 4.022 12 C -0.055 4.055 13 C -0.157 4.157 14 C 0.032 3.968 15 H 0.095 0.905 16 C -0.218 4.218 17 C -0.168 4.168 18 C 0.047 3.953 19 N -0.314 5.314 20 C -0.382 4.382 21 H 0.082 0.918 22 C -0.194 4.194 23 N -0.549 5.549 24 Si 0.733 3.267 25 H -0.203 1.203 26 H -0.216 1.216 27 H -0.217 1.217 28 C 0.020 3.980 29 C -0.158 4.158 30 H 0.106 0.894 31 H 0.061 0.939 32 H 0.063 0.937 33 H 0.083 0.917 34 H 0.092 0.908 35 H 0.108 0.892 36 H 0.063 0.937 37 H 0.061 0.939 38 H 0.087 0.913 39 H 0.085 0.915 40 H 0.089 0.911 41 H 0.114 0.886 42 H 0.082 0.918 43 H 0.097 0.903 44 H 0.070 0.930 45 H 0.075 0.925 46 H 0.068 0.932 47 H 0.108 0.892 48 H 0.038 0.962 49 H 0.064 0.936 50 H 0.037 0.963 51 H 0.072 0.928 52 H 0.070 0.930 53 H 0.079 0.921 Dipole moment (debyes) X Y Z Total from point charges 2.309 -13.755 12.424 18.678 hybrid contribution -0.672 0.415 -1.015 1.286 sum 1.637 -13.340 11.409 17.630 Atomic orbital electron populations 1.22783 0.80475 1.02979 1.00335 1.87883 1.20047 1.26687 1.95497 1.22537 0.90367 0.85987 1.02133 1.21945 0.94152 0.91960 0.90042 0.89051 1.88012 1.42088 1.66744 1.29932 1.22852 0.86532 0.94387 1.02806 1.20653 0.80947 0.87089 0.81805 1.90667 1.44380 1.68094 1.36510 1.48786 1.51474 1.22453 1.11787 1.22426 0.96263 0.98610 0.84926 1.20957 0.96376 0.94552 0.93654 1.22974 0.97415 1.03033 0.92284 1.22009 0.94120 0.84893 0.95754 0.90474 1.22103 0.95409 1.01604 1.02725 1.22143 0.96127 0.98418 1.00119 1.20845 1.00338 0.91275 0.82863 1.44009 1.38067 1.44445 1.04882 1.19217 1.29259 0.93258 0.96436 0.91826 1.25152 1.00731 0.95416 0.98144 1.69963 1.45786 1.00866 1.38271 0.86214 0.80496 0.78009 0.81993 1.20268 1.21608 1.21669 1.20908 0.91371 0.89769 0.95912 1.21930 1.00614 0.98526 0.94705 0.89369 0.93859 0.93703 0.91704 0.90826 0.89185 0.93742 0.93915 0.91311 0.91502 0.91051 0.88599 0.91790 0.90280 0.93024 0.92460 0.93250 0.89209 0.96153 0.93646 0.96275 0.92830 0.92976 0.92076 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. Note: The number of geometries may not correspond to the number of cycles due to rejected geometry changes. In the following table subtotal= G_P + SS G_CDS. Atom Chem. CM2 G_P Area Sigma k SS G_CDS Subtotal M number symbol chg. (kcal) (Ang**2) cal/(Ang**2) (kcal) (kcal) value 1 C 0.03 0.25 11.01 101.05 1.11 1.37 16 2 O -0.38 -4.37 10.66 -40.41 -0.43 -4.80 16 3 C 0.07 0.75 5.51 37.16 0.20 0.96 16 4 C 0.08 0.99 2.20 -27.88 -0.06 0.93 16 5 H 0.09 0.99 7.49 -51.93 -0.39 0.60 16 6 O -0.35 -4.73 9.87 -59.64 -0.59 -5.32 16 7 C 0.03 0.31 10.81 101.05 1.09 1.40 16 8 C 0.51 7.22 6.85 -10.98 -0.08 7.14 16 9 O -0.52 -8.98 14.43 -14.05 -0.20 -9.18 16 10 N -0.61 -8.09 3.25 -163.21 -0.53 -8.62 16 11 C 0.10 1.23 5.22 -3.31 -0.02 1.21 16 12 C -0.05 -0.79 0.55 -154.09 -0.09 -0.88 16 13 C -0.12 -1.68 4.35 -24.87 -0.11 -1.79 16 14 C 0.13 1.85 3.42 -66.33 -0.23 1.62 16 15 H 0.08 1.12 7.74 -51.93 -0.40 0.72 16 16 C -0.16 -2.12 8.67 37.16 0.32 -1.80 16 17 C -0.13 -2.20 4.74 -26.94 -0.13 -2.32 16 18 C 0.17 3.77 4.94 -3.64 -0.02 3.76 16 19 N -0.59 -13.75 2.98 -172.16 -0.51 -14.26 16 20 C -0.25 -6.58 9.58 -15.06 -0.14 -6.72 16 21 H 0.06 1.65 7.85 -52.49 -0.41 1.23 16 22 C 0.00 0.11 5.05 -17.43 -0.09 0.02 16 23 N -0.90 -25.20 11.02 55.49 0.61 -24.59 16 24 Si 0.90 21.01 29.57 -169.99 -5.03 15.99 16 25 H -0.28 -6.31 7.11 56.52 0.40 -5.91 16 26 H -0.29 -6.77 7.11 56.52 0.40 -6.37 16 27 H -0.29 -6.84 7.11 56.52 0.40 -6.44 16 28 C 0.15 2.80 6.22 -3.64 -0.02 2.78 16 29 C -0.12 -1.79 4.72 -26.94 -0.13 -1.92 16 30 H 0.09 0.59 8.14 -51.93 -0.42 0.17 16 31 H 0.04 0.33 8.14 -51.93 -0.42 -0.09 16 32 H 0.04 0.33 8.14 -51.93 -0.42 -0.09 16 33 H 0.06 0.76 8.14 -51.93 -0.42 0.34 16 34 H 0.07 0.75 5.50 -51.93 -0.29 0.47 16 35 H 0.09 0.76 8.14 -51.93 -0.42 0.34 16 36 H 0.04 0.38 8.08 -51.93 -0.42 -0.04 16 37 H 0.04 0.45 8.14 -51.93 -0.42 0.02 16 38 H 0.07 0.80 5.74 -51.93 -0.30 0.50 16 39 H 0.07 0.73 7.57 -51.93 -0.39 0.34 16 40 H 0.07 0.96 7.92 -51.92 -0.41 0.55 16 41 H 0.10 1.53 6.08 -51.93 -0.32 1.22 16 42 H 0.06 0.76 8.14 -51.93 -0.42 0.34 16 43 H 0.08 1.18 6.13 -51.93 -0.32 0.86 16 44 H 0.05 0.67 8.14 -51.93 -0.42 0.25 16 45 H 0.06 1.00 8.14 -51.93 -0.42 0.58 16 46 H 0.05 0.79 7.47 -51.93 -0.39 0.41 16 47 H 0.09 2.28 6.05 -51.93 -0.31 1.96 16 48 H 0.02 0.47 6.47 -51.93 -0.34 0.13 16 49 H 0.25 6.87 8.31 -40.82 -0.34 6.53 16 50 H 0.02 0.37 7.56 -51.93 -0.39 -0.02 16 51 H 0.05 1.02 7.93 -51.93 -0.41 0.61 16 52 H 0.05 0.68 8.11 -51.93 -0.42 0.26 16 53 H 0.06 0.95 8.14 -51.93 -0.42 0.52 16 LS Contribution 400.37 15.07 6.03 6.03 Total: -1.00 -30.74 400.37 -8.29 -39.03 By element: Atomic # 1 Polarization: 9.23 SS G_CDS: -9.27 Total: -0.04 kcal Atomic # 6 Polarization: 4.14 SS G_CDS: 1.63 Total: 5.77 kcal Atomic # 7 Polarization: -47.04 SS G_CDS: -0.43 Total: -47.47 kcal Atomic # 8 Polarization: -18.08 SS G_CDS: -1.22 Total: -19.30 kcal Atomic # 14 Polarization: 21.01 SS G_CDS: -5.03 Total: 15.99 kcal Total LS contribution 6.03 Total: 6.03 kcal Total: -30.74 -8.29 -39.03 kcal The number of atoms in the molecule is 53 The average number of expansion shells was 16.00 The maximum number of expansion shells was 16 The minimum number of expansion shells was 16 **** NOTA BENE **** This is the net solvation energy for this exact molecular structure (nuclear and electronic)! The standard-state solvation energy should be obtained as the difference between the heat of formation plus delta-G solvation for the relaxed solvated system and that for the relaxed gas-phase system. ZINC001707125521.mol2 53 1SCF run This is a breakdown of the solvation energy calculated without geometric relaxation in solution: (1) E-EN(sol) electronic-nuclear energy of solute -57.735 kcal (2) G-P(sol) polarization free energy of solvation -30.744 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -88.479 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.287 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.031 kcal (6) G-S(sol) free energy of system = (1) + (5) -96.766 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.97 seconds